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3 years ago

1. What is the area of the figure below? (1 point)

Mathematics

1 answer:

maw [93]3 years ago

4 0

Answer: 36in2

Step-by-step explanation:

A= base *height

=12*3

=36

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A bakery sold 108 cupcakes in one day. The head baker predicted he would sell 88 cupcakes that day. What was the percent error o

tensa zangetsu [6.8K]

88/108 *100 = 81.48

100-81.48 = 18.52

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7 0

3 years ago

What are the coordinates for point c

iris [78.8K]

Answer:

(0,2)

Step-by-step explanation:

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6 0

3 years ago

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Two consecutive integers have sum of 137

Mazyrski [523]

You would do x+ (x+1)=137
2x+1=137
Subtract 1 from each side
2x=136
x=68.
Add 1 to 68, since they are consecutive integers.
The answer is 68 and 69

5 0

3 years ago

Read 2 more answers

Find the radius of convergence, then determine the interval of convergence

galben [10]

The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.

<h3>Find the radius of convergence R and the interval of convergence:</h3>

Ratio test is the test that is used to find the convergence of the given power series.

First aₙ is noted and then aₙ₊₁ is noted.

For ∑ aₙ, aₙ and aₙ₊₁ is noted.

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|$ = β

If β < 1, then the series converges

If β > 1, then the series diverges

If β = 1, then the series inconclusive

Here $a_{k}$ = $\frac{(x+2)^{k}}{\sqrt{k} }$ and $a_{k+1}$ = $\frac{(x+2)^{k+1}}{\sqrt{k+1} }$

Now limit is taken,

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|$ = $\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }/\frac{(x+2)^{k} }{\sqrt{k} }|$

= $\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }\frac{\sqrt{k} }{(x+2)^{k}}|$

= $\lim_{n \to \infty} |{(x+2) } }{\sqrt{\frac{k}{k+1} } }}|$

= $|{x+2 }|\lim_{n \to \infty}}{\sqrt{\frac{k}{k+1} } }}$

= $|{x+2 }|$ < 1

- 1 < ${x+2 }$ < 1

- 1 - 2 < x < 1 - 2

- 3 < x < - 1

We get that,

interval of convergence = (-3, -1)

radius of convergence R = 1

Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.

Learn more about radius of convergence here:

brainly.com/question/14394994

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1 year ago

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There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Write a system of equations tha

olganol [36]

Answer:

7 horses and 8 chickens

Step-by-step explanation:

To solve this, first you would need to list out all of the available ratios. Then, find out how many legs are in each option.:

14 horses and 1 chicken = 58 legs

13 horses and 2 chickens = 56 legs

12 horses and 3 chickens = etc.

11 horses and 4 chickens

10 horses and 5 chickens

9 horses and 6 chickens

8 horses and 7 chickens

7 horses and 8 chickens = 44 legs!

6 horses and 9 chickens

5 horses and 10 chickens

4 horses and 11 chickens

3 horses and 12 chickens

2 horses and 13 chickens

1 horses and 14 chickens

5 0

3 years ago